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Operations                              Area and    Tiling the   Factors and
   with      Similarity   Probability
                                        Perimeter     Plane       Multiples
 Fractions

   50          50            50           50          50            50

  100         100           100          100         100           100

  150         150           150          150         150           150

  200         200           200          200         200           200

  250         250           250          250         250           250


                                                                               H
1/2 + 3/4 =
5/4 or 1 1/4
2 - 2/5 =
8/5 or 1 3/5
3/8 x 6/7 =
18/56 or 9/28
1 2/3 - 5/6 =
5/6
5/7 / 2 1/3 =
15/49
How are perimeters of
 two similar figures
      related?
The perimeter of the larger is the scale
factor times the perimeter of the smaller
                  figure.
How are the areas of
 two similar figures
      related?
The area of the larger figure is the square
 of the scale factor times the area of the
               smaller figure.
Rectangle A measures 3
inches by 5 inches. Find
  the measures of two
   similar rectangles.
6 inches x 10 inches
 9 inches x 15 inches
12 inches x 20 inches
A figure is put in a copier using a copier
size factor of 125%. What scale factor and
 ratio of similarity relate the copy to the
               original figure?
4/5
What is the minimum number of side
and/or angle measurements needed to
 check the similarity of two triangles?
If two corresponding angles have the
same measure, the third angles will have
the same measure and the triangles will
       be similar. If all three pairs of
corresponding sides have the same ratio,
         the triangles are similar.
A bag contains 25
      balloons:
15 red, 3 yellow, and 7
        orange.
What is the theoretical
probability of choosing
   a yellow balloon?
3/25
A bag contains 25
      balloons:
15 red, 3 yellow, and 7
        orange.
What is the probability
of not choosing a red
       balloon?
10/25
A bag contains 25
      balloons:
15 red, 3 yellow, and 7
        orange.
What is the theoretical
probability of getting a
 yellow or an orange
       balloon?
10/25
A bag contains 25
      balloons:
15 red, 3 yellow, and 7
        orange.
The number of balloons of each color is
doubled. What happens to the probability
       of choosing a red balloon?
15/25 = 30/50
probability is the same!
A bag contains 25
      balloons:
15 red, 3 yellow, and 7
        orange.
How may balloons of each color would
you need to add to the original bag to
 make the probability of drawing a red
            balloon 1/2?
Possible Answers:
  add 1 yellow and 4 oranges,
 add 2 yellows and 3 oranges,
  add 3 yellows and 2 oranges,
  add 4 yellows and 1 orange,
add 5 yellows, or add 5 oranges.
A square has a side
 length of 6 units. Find
the area and perimeter.
Area = 36 square units
 Perimeter = 24 units
A juice can is about
2.25 inches in diameter.
       What is its
    circumference?
   feel free to use a calculator
approximately 7.07
     inches.
Draw two shapes with
 perimeter of 18 units
but different areas. Give
the area of each shape.
Possible Answers:
     2 x 7 rectangle
(area = 14 square units)
     4 x 5 rectangle
(area = 20 square units)
Draw two shapes with areas of
 25 square units but different
perimeters. Give the perimeter
        of each shape.
Possible Answers:
     5 x 5 square
(perimeter = 20 units)
   1 x 25 rectangle
(perimeter = 52 units)
Find the rectangle with an area
of 36 square units and whole-
 number side lengths that has
    the smallest perimeter
           possible.
6x6
perimeter = 24
What is another word
     for tilings?
tessellations
Which of these shapes
work as tiles and which
    do not? Why?
All rectangles and triangles can
  be used as a tile. A regular
hexagon can tile the plane, but
      not all hexagons can.
Find the dimension of
two possible rectangles
 that can be made with
     36 square tiles.
Possible Answers:
      1 x 36
      2 x 18
      3 x 12
       4x9
       6x6
A regular polygon has
an angle sum of 1,080
 degree. How many
  sides does it have?
8 sides
Use the parallelogram
 below. Find two ways
that copies of it can be
 used to tile a surface.
Using the idea of translation you can tile
 the plane with strips of parallelograms
     arranged so that the top of the
    parallelogram exactly matches the
 bottom parallelogram in the next strip.
You can also offset the strips so that the
   top of a parallelogram matches the
midpoint of the top of a parallelogram in
              the next strip.
Find two proper factors
        of 76.
two of this set:
 1, 2, 38, 4, 19
Find all the factors of
          171.
1, 3, 57, 171
Find the least common
multiple of 35 and 175.
175
Find the greatest prime
 number less than 112.
109
Find the greatest
common factor of 370,
    222, and 148.
74
Homework:
           ACES 6, 7, 8 (page 16)
             & 39 (page 19)
Important: use correct number sentences with 2 or 3
addends connected by a plus or minus sign & an equal
              sign followed by the sum.

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Jeopardy

  • 1. Operations Area and Tiling the Factors and with Similarity Probability Perimeter Plane Multiples Fractions 50 50 50 50 50 50 100 100 100 100 100 100 150 150 150 150 150 150 200 200 200 200 200 200 250 250 250 250 250 250 H
  • 3. 5/4 or 1 1/4
  • 5. 8/5 or 1 3/5
  • 8. 1 2/3 - 5/6 =
  • 9. 5/6
  • 10. 5/7 / 2 1/3 =
  • 11. 15/49
  • 12. How are perimeters of two similar figures related?
  • 13. The perimeter of the larger is the scale factor times the perimeter of the smaller figure.
  • 14. How are the areas of two similar figures related?
  • 15. The area of the larger figure is the square of the scale factor times the area of the smaller figure.
  • 16. Rectangle A measures 3 inches by 5 inches. Find the measures of two similar rectangles.
  • 17. 6 inches x 10 inches 9 inches x 15 inches 12 inches x 20 inches
  • 18. A figure is put in a copier using a copier size factor of 125%. What scale factor and ratio of similarity relate the copy to the original figure?
  • 19. 4/5
  • 20. What is the minimum number of side and/or angle measurements needed to check the similarity of two triangles?
  • 21. If two corresponding angles have the same measure, the third angles will have the same measure and the triangles will be similar. If all three pairs of corresponding sides have the same ratio, the triangles are similar.
  • 22. A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
  • 23. What is the theoretical probability of choosing a yellow balloon?
  • 24. 3/25
  • 25. A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
  • 26. What is the probability of not choosing a red balloon?
  • 27. 10/25
  • 28. A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
  • 29. What is the theoretical probability of getting a yellow or an orange balloon?
  • 30. 10/25
  • 31. A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
  • 32. The number of balloons of each color is doubled. What happens to the probability of choosing a red balloon?
  • 34. A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
  • 35. How may balloons of each color would you need to add to the original bag to make the probability of drawing a red balloon 1/2?
  • 36. Possible Answers: add 1 yellow and 4 oranges, add 2 yellows and 3 oranges, add 3 yellows and 2 oranges, add 4 yellows and 1 orange, add 5 yellows, or add 5 oranges.
  • 37. A square has a side length of 6 units. Find the area and perimeter.
  • 38. Area = 36 square units Perimeter = 24 units
  • 39. A juice can is about 2.25 inches in diameter. What is its circumference? feel free to use a calculator
  • 41. Draw two shapes with perimeter of 18 units but different areas. Give the area of each shape.
  • 42. Possible Answers: 2 x 7 rectangle (area = 14 square units) 4 x 5 rectangle (area = 20 square units)
  • 43. Draw two shapes with areas of 25 square units but different perimeters. Give the perimeter of each shape.
  • 44. Possible Answers: 5 x 5 square (perimeter = 20 units) 1 x 25 rectangle (perimeter = 52 units)
  • 45. Find the rectangle with an area of 36 square units and whole- number side lengths that has the smallest perimeter possible.
  • 47. What is another word for tilings?
  • 49. Which of these shapes work as tiles and which do not? Why?
  • 50. All rectangles and triangles can be used as a tile. A regular hexagon can tile the plane, but not all hexagons can.
  • 51. Find the dimension of two possible rectangles that can be made with 36 square tiles.
  • 52. Possible Answers: 1 x 36 2 x 18 3 x 12 4x9 6x6
  • 53. A regular polygon has an angle sum of 1,080 degree. How many sides does it have?
  • 55. Use the parallelogram below. Find two ways that copies of it can be used to tile a surface.
  • 56. Using the idea of translation you can tile the plane with strips of parallelograms arranged so that the top of the parallelogram exactly matches the bottom parallelogram in the next strip. You can also offset the strips so that the top of a parallelogram matches the midpoint of the top of a parallelogram in the next strip.
  • 57. Find two proper factors of 76.
  • 58. two of this set: 1, 2, 38, 4, 19
  • 59. Find all the factors of 171.
  • 60. 1, 3, 57, 171
  • 61. Find the least common multiple of 35 and 175.
  • 62. 175
  • 63. Find the greatest prime number less than 112.
  • 64. 109
  • 65. Find the greatest common factor of 370, 222, and 148.
  • 66. 74
  • 67. Homework: ACES 6, 7, 8 (page 16) & 39 (page 19) Important: use correct number sentences with 2 or 3 addends connected by a plus or minus sign & an equal sign followed by the sum.

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